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Finding the Fourth Proportional to 565,465,209.40, 848,197,814.10 and 457,969,785.40

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Solution

The fourth proportional to 565,465,209.40, 848,197,814.10 and 457,969,785.40 is: 686,954,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,465,209.40 : 848,197,814.10 = 457,969,785.40 : x
  2. Step 2: Convert to fraction form
    565,465,209.40/848,197,814.10 = 457,969,785.40/x
  3. Step 3: Cross multiply
    565,465,209.40x = 848,197,814.10 × 457,969,785.40
  4. Step 4: Simplify right side
    565,465,209.40x = 388,448,970,900,126,080
  5. Step 5: Solve for x
    x = 388,448,970,900,126,080/565,465,209.40
  6. Step 6: Final answer
    x = 686,954,678.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.